Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y= -6x + 6
y= 3x - 3
Answers
Answer:
one solution: (x, y) = (1, 0)
Step-by-step explanation:
See below for a graph with the one solution identified.
Answer:
The system has one solution at (1,0).
Step-by-step explanation:
Consider the provided system of equations
y=-6x+6
Substitute x = 0 in above equation.
y=-6(0)+6
y=6
The coordinate is (0,6)
Now substitute y=0 in the above equation.
0=-6x+6
-6=-6x
x=1
The coordinate is (1,0)
Now use the coordinates (0,6) and (1,0) in order to draw the graph.
The graph of y= -6x + 6 is shown in figure 1.
Similarly, consider the second equation y= 3x - 3
Substitute x = 0 in above equation.
y=3(0)-3
y=-3
The coordinate is (0,-3)
Now substitute y=0 in the above equation.
0=3x-3
3=3x
x=1
The coordinate is (1,0)
The graph of y= 3x - 3 is shown in figure 2.
Now draw the graph of both equation as shown in figure 3.
By observing the graph it can be concluded that the system has one solution at (1,0)
Hence, the system has one solution at (1,0).
Related Questions
Which is an example of SRS (simple random sample)? a. Putting all the names of the 50 elementary students sitting in the auditorium into a large fishbowl and pulling out only 10 names b. Calling households at random with the area code 312; after completing the survey with the homeowner, surveying others living in the same home c. Stopping every thirteenth person who leaves the local hardware store with a bag, showing they purchased an item d. Listing in alphabetical order the 100 players in the league, then beginning at the top of the list and calling players until you have spoken to 10 players
Answers
Answer:
a. Putting all the names of the 50 elementary students sitting in the auditorium into a large fishbowl and pulling out only 10 names
Step-by-step explanation:
When one does simple random sampling picture it like a lottery. (This is actually a good example) It is a type of smapling that is done where a smaller portion of the whole population is chosen to participate in the research. It is called random because everyone in the population has an equal chance to be selected. Although the other examples are random sampling as well, they are more systematic than simple.
Answer:
A
Step-by-step explanation:
The peroson above is correct
A pizza restaurant charges for each pizza and adds a delivery fee. The cost (c), in dollars, to have any number of pizzas (p) delivered to a home is described by the equation c = 11p + 5.
Each pizza costs $5 and the delivery fee is $11
The cost of 11 pizzas is $16
Each pizza costs $11 and the delivery fee is $5
The cost of 5 pizzas is $11
Answers
Answer:
Each pizza costs $11 and the delivery fee is $5
Step-by-step explanation:
We assume you want an interpretation of the equation.
The total cost of an order is the sum of any fixed cost (such as a delivery fee) and the variable cost.
Here, the variable cost is the cost of some number of pizzas. It is proportional to the number of pizzas. In the equation, it is represented by 11p, where p is the number of pizzas. The cost of each pizza must be $11, since the cost of p pizzas is 11p.
The equation's two parts are a fixed cost of $5 and a variable cost of $11 per pizza. The best description is ...
Each pizza costs $11 and the delivery fee is $5
The cost (c) to have any number of pizzas (p) delivered is calculated using the equation c = 11p + 5. This implies that each pizza costs $11 and the delivery fee is $5.
Explanation:The question involves the concept of linear equations in mathematics. In this particular case, the equation is c = 11p + 5. This equation denotes the cost (c) of pizzas delivered where each pizza prices ($11 each) is multiplied by the number of pizzas (p) and then added to the delivery fee ($5). Therefore, the third option, 'Each pizza costs $11 and the delivery fee is $5' is the correct interpretation of the equation.
To find out the cost of any number of pizzas, you would substitute that number in for 'p' in the equation. For instance, the cost of 5 pizzas would be calculated as 5 * $11 + $5 = $60.
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Determine whether the given value is a statistic or a parameter. Upper A survey found that 54 % of all respondents go to school. Choose the correct answer below. A. The value is a statistic because it is a numerical measurement describing some characteristic of a population. B. The value is a statistic because it is a numerical measurement describing some characteristic of a sample. C. The value is a parameter because it is a numerical measurement describing some characteristic of a population. D. The value is a parameter because it is a numerical measurement describing some characteristic of a sample.
Answers
Answer:
5 but its probaly not right bc im just looking for pointsStep-by-step explanation:
Point w is located at negative 2 3 on a coordinate plane W is reflected over the x-axis to create Point ww.W is then reflected over the y-axis to create point w what ordered pair describes the location of Point wa explain how you determine your answer
Answers
Answer:
W'' = (2, -3)
Step-by-step explanation:
Reflection over the x-axis changes the sign of the y-coordinate.
So, point W' is (-2, -3).
Reflection over the y-axis changes the sign of the x-coordinate.
So, point W'' is (2, -3).
___
The answer can be determined by doing the reflections algebraically, as above, or by doing them on a graph, as below.
Which of the following equations is of the parabola whose vertex is at (2, 3), axis of symmetry parallel to the y-axis and p = 4?
A.)y-3 = 1/16 (x-2)^2
B.)y+3 = -1/16 (x+2)^2
C.)x-2 = 1/16 (y-3)^2
Answers
Answer:
option A.) y-3 = 1/16 (x-2)^2
Step-by-step explanation:
we know that
If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola
The equation of a vertical parabola is equal to
[tex]4p(y-k)=(x-h)^{2}[/tex]
where
(h,k) is the vertex
In this problem we have
(h,k)=(2,3)
p=4
substitute
[tex]4(4)(y-3)=4(4)(x-2)^{2}[/tex]
[tex]16(y-3)=(x-2)^{2}[/tex]
[tex](y-3)=(1/16)(x-2)^{2}[/tex]
Answer:
option A.) y-3 = 1/16 (x-2)^2
Step-by-step explanation:
Which set of boxes containing tiles with the letters A, B, C, and D meet the following conditions?
In Box 1, P(A) > P(B)
In Box 2, P(B) + P(C) + P(D) = 1
In Box 3, P(D) = 2P(C)
Answers
Answer:
your choice is correct
Step-by-step explanation:
In your selected set of boxes, ...
Box 1 has p(A) = 2/6 > p(B) = 1/6
Box 2 contains only B, C, and D.
Box 3 has P(D) = 4/6 = 2*P(C) = 2*2/6
The two functions below are used to represent the height of a rocket above the ground after it is launched. Which rocket reaches a greater distance above the ground at its maximum height? Rocket A: y = -6x 2 + 96x Rocket B: y = -4x 2 + 80x Rocket reaches a maximum height that is greater than the maximum height of Rocket
Answers
Answer:
Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.
Step-by-step explanation:
A graph quickly shows the answer to this question.
__
In vertex form, the equation for Rocket A is ...
y = -6(x² -16x +8²) +6(8²)
y = -6(x -8)² +384 . . . . . . . . . maximum height is 384 feet
__
The corresponding equation for Rocket B is ...
y = -4(x² -20x +10²) +4(10²)
y = -4(x -10)² +400 . . . . . . . . maximum height is 400 feet
Rocket B reaches a maximum height greater than that of Rocket A.
Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.
7. The number +10 can be used to indicate a
A. 10-degree rise in temperature.
B. decrease in salary of $10.
C. withdrawal of $10.
D. loss of 10 pounds.
Answers
Hello There!
The number +10 can be used to indicate a 10-degree rise in temperature.
This is because this is an increase. All of the other options are a decrease meaning that there going down from where they were originally.
Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, Blake can paint one room in 9 hours. Ned can paint the same room in 6 hours. How long will it take them to paint the room if they work together?
Answers
Answer: The time taken by both of them if they work together is given by
[tex]3\dfrac{3}{5}\ hours[/tex]
Step-by-step explanation:
Since we have given that
Time taken by Blake to paint one room = 9 hours
Time taken by Ned to paint one room = 6 hours
Work done by Blake = [tex]\dfrac{1}{9}[/tex]
Work done by Ned = [tex]\dfrac{1}{6}[/tex]
Total work done by both of them together is given by
[tex]\dfrac{1}{6}+\dfrac{1}{6}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}[/tex]
So, the time taken by both of them if they work together is given by
[tex]\dfrac{18}{5}=3\dfrac{3}{5}\ hours[/tex]
Blake can do the work in 9 and part of work in 1 hour = 1/9
Ned can paint the same room in six hours, as well as do part of work in 1 hour = 1/6
If they do it together = 1/9+1/6=5/118, and they can do 5/18 part of work in hour = 1
So, they can do whole work in hours = 1/5/18=3.6
So if they do it together it will only take 3.6 hours.
In this triangle, what is the value of X?
Enter your answer, rounded to the nearest tenth, in the box.
X=
PLEASEEE HELP 12p!!! BRAINLIEST IF CORRECT!!
Answers
Answer:
The measure of angle x is [tex]26.1\°[/tex]
Step-by-step explanation:
we know that
In the right triangle of the figure, the tangent of angle x is equal to divide the opposite side to angle x by the adjacent side to angle x
so
[tex]tan(x)=\frac{26}{53}[/tex]
[tex]x=arctan(\frac{26}{53})=26.1\°[/tex]
If it takes Tom 15 minutes to eat a burger and then 5 minutes to eat a portion of fries, how many burgers and portions of fries would he be able to eat in one hour?
Answers
Tom could eat 4 burgers and 12 portions of fries.
Answer:
3
Step-by-step explanation:
15 minutes for one burger and another 5 for one portion of fries. If he has to eat a portion of fries after each burger that's 20 minutes. An hour is only 60 minutes allowing only enough time to eat 3 burgers and portions of fries. Simply because 60 divided by 20 is 3.
Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?
A. a number line with closed circles at negative 3 and 6 and shading in between.
B. number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.
C. number line with open dots at negative 2 and 5 with shading in between.
D. number line with shading everywhere.
Answers
Answer:
D. Number line with shading everywhere
1. p>-3
2. p<6
Step-by-step explanation:
1. 4p+1>-11
Subtract by 1 both sides of equation.
4p+1-1>-11+1
Simplify.
4p>-12
Divide by 4 from both sides of equation.
4p/4>-12/4
Simplify, to find the answer.
-12/4=-3
p>-3 is the correct answer.
____________________________
2. 6p+3<39
Subtract by 3 from both sides of equatoin.
6p+3-3<39-3
Simplify.
39-3=36
6p<36
Divide by 6 from both sides of equation.
6p/6<36/6
Simplify, to find the answer.
36/6=6
p<6 is the correct answer.
D is the correct answer.
Answer:
B. Number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.
Step-by-step explanation:
Given compound inequality,
4p + 1 > −11 or 6p + 3 < 39,
4p > - 11 - 1 or 6p < 39 - 3
4p > -12 or 6p < 36
p > -3 or p < 6
⇒ -3 < p < 6
⇒ (-3 6)
That is, number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.
Option 'B' is correct.
Multiply [4 0 -1 2 -3 -1] multiplied by [0 1 -3 1] A. [0 4 -6 3 -3 4] B. [0 -4 -6 1 3 -4] C. [-4 4 -3 -1 6 -4] D. [0 4 -6 1 3 -4]
Answers
Answer:
[tex]\text{D. }\left[\begin{array}{cc}0&4\\-6&1\\3&-4\end{array}\right][/tex]
Step-by-step explanation:
It would be helpful to know the numbers of rows and columns, so we don't have to guess.
Any number of on-line calculators and/or graphing calculators can multiply these matrices for you. Excel and other spreadsheets can do this, too. Forming the 6 sums of 2 products is tedious to do by hand.
For example, the term in the product matrix at row 1 column 2 is the sum of products of the numbers in row 1 of the first matrix and column 2 of the second matrix:
4·1 + 0·1 = 4
_____
The attachment shows the matrix multiplication on a TI-84 calculator.
Vectors can be multiplied by scalars, where each component of the vector is multiplied by the scalar. In the student's question, direct multiplication isn't possible due to different number of components in both vectors. However, we can partially apply the concept to illustrate vector and scalar multiplication.
Explanation:The question being asked here is about multiplying vectors within the subject of Mathematics. It's important to note that vectors can be multiplied by scalars, and each component of the vector is multiplied by the scalar. In this question, it seems there might be a typo because the two vectors have a different number of components and cannot be multiplied directly.
However, multiplication of vectors by scalars does not involve reversing signs or changing magnitude based on whether the scalar is negative or positive. If Vector A is multiplied by a scalar c, all components of Vector A are simply multiplied by c.
So, applying this concept to part of the vectors in the question, we would get [0, 4, -3] when [4, 0, -1] is multiplied by the scalar 0 and 1 respectively.
Learn more about Vector multiplication by scalars here:https://brainly.com/question/31940047
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Please help me with this last part. The other parts are fine.
Answers
These percentiles on small data sets are confusing. We have 8 data points. So the median is the average of the 4th and 5th.
The upper quartile, 75th percentile, is between the 6th and 7th data point of the 8. I calculated its index as (8-1)*.75=6.25. One definition of upper quartile has us just pick the next one up, 36 here. Another definition has us interpolate. Since 6.25 = (3/4) 6 + (1/4) 7 we take (3/4) 33 + (1/4) 36 = 33.75 as a 75th percentile. It's hard for me to choose without knowing what you were taught.
please help asap will mark brainlest
Answers
Answer: -79, 21, 46, 80
Step-by-step explanation:
-79, 21, 46, 80
79 is a negative number making it the smallest. After -79 just order the numbers in the consecutive order of how you count.
Hope this helped!
~Just a girl in love with Shawn Mendes
Need help with a math question PLEASE HELP
Answers
Answer:
57%
Step-by-step explanation:
From the table you can state that:
the total number of students is 10,730the number of students receiving Finincial Aid is 6,101Use the definition of the probability
[tex]Pr=\dfrac{\text{The number of favorable outcomes}}{\text{The number of all possible outcomes}}[/tex]
So,
the number of favorable outcomes = 6,101the number of all possible outcomes = 10,730Hence, the probability is
[tex]Pr=\dfrac{6,101}{10,730}\approx 0.5685\approx 57\%[/tex]
Need help with math question
Answers
ANSWER
[tex]x = 22 \: units[/tex]
EXPLANATION
The length of the two chords in the diagram are the same because equal chords are equal distance from the center.
We can see that the two chords are all 12 units from the center.
The line from the center meeting the chords at right angles bisects these chords.
Therefore
[tex]x = 2 \times 11[/tex]
[tex]x = 22 \: units[/tex]
In a recent year,there were approximately 45 million moviegoers in a certain country, of these about 4/5 were ages 24-34. Find the approximate number of people ages 24-34 who attended the movies in that year.
Answers
Answer:
36 million
Step-by-step explanation:
(4/5)×(45 million) = (4/5×45) million = 36 million
Approximately 36 million people aged 24 to 34 attended movies that year.
Answer: 36 million.
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the total number of moviegoers (45 million) 4/5 (moviegoers between ages 24-34 )
Mathematically speaking:
45m x 4/5 =45 x 4/5= 36 million
it can also be solved like this:
45,000,000 x 4/5 = 36,000,000
The approximate number of people ages 24-34 who attended the movies in that year were 36 million.
How many solutions does the nonlinear system of equations graphed bellow have?
Answers
Answer:
Option A) 1
Step-by-step explanation:
we know that
The solution of the nonlinear system of equations is the intersection point both graphs
In this problem the intersection point is (-2,-1)
therefore
The system of equations has only one solution
Can mutually exclusive events have an intersection of events? Explain your answer
Answers
Answer:
no
Step-by-step explanation:
exclusive pertains to one, hence the phrase, exclusive.
Mutually exclusive events or disjoint events are two events that don’t have anything in common. Nothing in common means NO INTERSECTION.
Answer: No!
What computation will give you the seventh number
Answers
Answer:
42 + 14
Step-by-step explanation:
By counting the rows and columns, you'll notice the following:
1) The first pattern has 2 columns and increase by 1 column each time you move to the right.
2) The first pattern has 1 row and increase by 1 row each time move to the right.
3) To get to the 7th number, you will have to move to the right 6 times.
Hence,
1) if you start with 2 columns, and move 6 times to the right, each time adding one column you will end up with 2 + 6 = 8 columns
2) if you start with 1 row and move 6 times to the right, each time adding one row, you will end up with 1 + 6 = 7 rows
3) You will end up with a pattern with 8 columns and 7 rows and the number of dots will be 8 x 7 = 56.
If you work out all the answers, yo uwill see that only 42 + 14 gives you 56.
Triangle ABC is translated using the rule (x, y) ? (x + 1, y ? 4) to create triangle A?B?C?. If a line segment is drawn from point A to point A? and from point B to point B?, which statement would best describe the line segments drawn?
Answers
Answer:
The line segments AA' and BB' are parallel and congruent
Step-by-step explanation:
we know that
When the transformation is a translation, the figure does not change its shape or dimensions,
so
AA'=BB'=CC'
therefore
The line segments AA' and BB' are parallel and congruent
Translation involves moving a function away from its original position.
The statement that describes the line segments is:
Both lines would be parallel and congruent
The translation is given as:
[tex]\mathbf{(x,y) \to (x + 1, y - 4)}[/tex]
Translation is a rigid transformation.
This means that, the image and the pre-image would have the same measure.
So, when a line is drawn from A to A' and B to B'
The lines would be parallelThe lines would be congruentAssume the coordinates of A and B are:
[tex]\mathbf{A = (2,3) }[/tex]
[tex]\mathbf{B = (-4,6) }[/tex]
Apply transformation
[tex]\mathbf{A' = (2 + 1, 3 - 4) = (3,-1)}[/tex]
[tex]\mathbf{'B = (-4 + 1, 6 - 4) = (-3,2)}[/tex]
The distance of lines AA' and BB' is calculated using:
[tex]\mathbf{d = \sqrt{(x_2 -x_2)^2 + (y_2 - y_1)^2 }}[/tex]
So, we have:
[tex]\mathbf{AA' = \sqrt{(2 -3)^2 + (3 - -1)^2 = \sqrt{17}}}[/tex]
[tex]\mathbf{BB' = \sqrt{(-4 --3)^2 + (6 -2)^2 = \sqrt{17}}}[/tex]
Notice that:
[tex]\mathbf{BB' = AA' = \sqrt{17}}}[/tex]
Because translation is a rigid transformation, then lines AA' and BB' would also be congruent
Read more about translations at:
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Please answer this multiple choice question correctly for 30 points and brainliest!!
Answers
Answer:
B. 88°
Step-by-step explanation:
In a properly drawn circle graph, the central angle is proportional to the size of the number being displayed. Here, 122 of 500 selected football. Since the total angle of a circle is 360°, that fraction is ...
(122/500)×360° = 87.84° ≈ 88°
Solve the system of equations using substitution.
y = −2x + 1
4x + 2y = −1
A.(0, −3)
B.(−3, 0)
C.No solution
D.Infinitely many solutions
Answers
Answer:
C. No solution.
Step-by-step explanation:
y = −2x + 1
4x + 2y = −1
Substituting y = -2x + 1 in the second equation:
4x + 2(-2x + 1) = -1
4x - 4x + 2 = -1
2 = -1 which is absurd so there is no solution.
Write your answer without using negative exponents.
(w^5)^-7
Answers
Answer:
1/(w^35)
Step-by-step explanation:
According to the rules of exponents, you need to multiply both -7 and 5 such that you get...
w^(-35)
Since you cannot have a negative exponent according to the question, you simplify by...
w^-x means that you do 1/(w^-x)
1/(w^35)
Please mark for Brainliest!! :D Thanks!!
For more questions or more information, please comment below!
Solve for x. -3 + 8x - 5 = -8 A. -2 B. -1 C. - 3 4 D. 0
Answers
Answer:
D
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
-3+5
-8+8x=-8
divide both sides by 8
x=0
Identify the form of the equation and two characteristics(example: slope, y--intercept,or point) of the function's graph.
1. y = –7x + 2
2. y + 2 = 2/3(x – 5)
Answers
Answer:
1) graphical linear equation form (slope = -7, y-intercept = 2)
2) Standard linear form (slope = 2/3, y-intercept = -4/3)
Step-by-step explanation:
1) A graphical equation is always in the form of y = mx + c where y is the subject.
slope is the value before x which is -7
Y-intercept is where a line meets y axis so the value of x is 0. Y-intercept is 2.
y = -7x + 2
y= -7 (0) + 2 = 2
2) A standard form is where y is not the subject.
Step 1: Convert it into graphical equation form y = mx + c to identify the slope and y-intercept.
y + 2 = 2/3(x – 5)
y + 2 = 2/3x - 10/3
y = 2/3x - 10/3 -2
y= 2/3x - 4/3
slope is the value before x which is 2/3
Y-intercept is where a line meets y axis so the value of x is 0. Y-intercept is -4/3.
y= 2/3x - 4/3
y = 2/3 (0) - 4/3
y = -4/3
!!
please Simplify 3^2x3^3
Answers
Answer:
[tex]243[/tex]
Step-by-step explanation:
[tex]3^2*3^3 = 9 * 27[/tex]
[tex]9 * 27 = 243[/tex]
Answer:
243
Step-by-step explanation:
[tex]3^2*3^3[/tex]
To solve your equation, employ the use of PEMDAS.
According to PEMDAS, exponents come before multiplication, so we can simply the 3 squared and the 3 cubed first.
3 squared is the same as 3 x 3, which is 9.
3 cubed is the same as 3 x 3 x 3, which is 27.
Thus, our new equation is
[tex]9*27[/tex]
Simply do the multiplication and you have your simplified answer.
[tex]9*27=243[/tex]
Un rombo tienen un angulo de 22 grados. Cuanto vale la suma de sus angulos que no midan 22 grados???!!!???!!!????
Answers
The answer is:
The sum the other angles that do not measure 22° is equal to 316°.
[tex]158\°+158\°=316\°[/tex]
Why?To find the sum of the rest of the angles, we need to remember that a rhombus has two adjacent and equal angles, and also it has two opposite and equal angles.
So, we are given that the rhombus has an angle of 22°, and to calculate the other angles, let be the given angle an adjacent angle, so:
[tex]360\°=2*AdjacentAngles+2*OppositeAngles\\\\360\°=2*22\°+2*OppositeAngles\\\\2OppositeAngles=360\°-2*22\°=316\°\\\\OppositeAngles=\frac{316\° }{2}=158\°[/tex]
Hence, we have that the sum of its other angles that do not measure 22° is equal to 316°.
Have a nice day!
PLEASE HELP ASAP I WILL MARK BRAINLIEST!! If measures 65°, what is the measure of WZ?
Answers
Answer:
180-65=115
Step-by-step explanation:
Straight line always measures 180 degrees, take 180 and subtract 65 thats your answer.
Answer:
115 dude
Step-by-step explanation:
you just substract 65 with 180 and then you get 115